This should also apply quite particularly to tidal deformation and
tidal heating effects. Specifically, the situation is such that in
the gravitational interactions observable in reality, of course, not
only the outer vacuum field of the body fluctuates (as assumed by
the approximation used in the pseudotensorial works mentioned in the
introduction and in the work of Booth and Creighton), but also the
inner field of the body. The changes in the matter source associated
with these effects can cause mass-energy to flow out of the system
at sometimes very high velocities (just think of relativistic jet
streams in accreting supermassive black holes). Very similar phenomena
are also to be expected for mergers of bodies, which are also partly
described on the basis of the linearized approximation of the theory
[1]}, [2]}, [3]}, [4]}, [5]}, [6]}, [7]}.
Thus, it seems highly advisable to consider the correction terms found
in the present work in regards to the effects of tidal heating; especially
as long as it remains unclear which order of magnitude the correction
terms are most likely to have in a given physical setting.
